30661876808300 has 72 divisors (see below), whose sum is σ = 66907161698832. Its totient is φ = 12196390752000.

The previous prime is 30661876808293. The next prime is 30661876808333. The reversal of 30661876808300 is 380867816603.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644390510 + ... + 644438090.

It is an arithmetic number, because the mean of its divisors is an integer number (929266134706).

Almost surely, 2^{30661876808300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30661876808300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33453580849416).

30661876808300 is an abundant number, since it is smaller than the sum of its proper divisors (36245284890532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30661876808300 is a wasteful number, since it uses less digits than its factorization.

30661876808300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83379 (or 83372 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 30661876808300 in words is "thirty trillion, six hundred sixty-one billion, eight hundred seventy-six million, eight hundred eight thousand, three hundred".